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Topic: Tetrachord

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	Tetrachord - Definition, explanation
		A diatonic tetrachord has a characteristic interval that is equal to, or less than half the total interval of the tetrachord (or 249 centss).
		A chromatic tetrachord has a characteristic interval that is greater than half the total interval of the tetrachord, yet not as great as four-fifths of the interval (between 249 and 398 cents).
		Since there are two tetrachords and a major tone in an octave, this creates a 25 tone scale used in the Arab tone system before the quarter tone scale.
	www.calsky.com /lexikon/en/txt/t/te/tetrachord.php (668 words)

	ZARLINO
		The main characteristics of this tetrachord are therefore a "small" semitone (s) of 90 cents (the equal temperament semitone is by definition 100 cents) and two "large" tones of 204 cents (T).
		Since the four degrees of the diatono tetrachord are taken, by definition, from the same series of pure fifths, the two intermediate degrees of the sintono must form part of a series which is higher by a comma.
		the tetrachords, are not affected in the sense that their ratios one to another are maintained, both for the extreme strings and stepwise from degree to degree.
	www.medieval.org /emfaq/zarlino/article2.html (3687 words)

	Ajnas
		A set is a defined as a trichord when the next (4th) note is impossible to predict out of multiple choices, as in the Sikah and Mustaar trichords for example.
		Some books represent this tetrachord as a pentachord with a G as the 5th note, in order to complete the Hijaz tetrachord.
		This tetrachord is a variant of the Nawa Athar tetrachord, with the 2nd note lowered by a 1/2 tone.
	www.maqamworld.com /ajnas.html (756 words)

	NationMaster - Encyclopedia: Dorian mode (Site not responding. Last check: )
		In Greek music theory it was based on the Dorian tetrachord: descending, a series of falling intervals of two whole tones followed by a semitone.
		Applied to a whole octave, the Dorian mode was built upon two Dorian tetrachords separated by a whole tone.
		A major second is one of three commonly occuring musical intervals that span two diatonic scale degrees; the others being the minor second, which is one semitone smaller, and the augmented second, which is one semitone larger.
	www.nationmaster.com /encyclopedia/Dorian-mode (2015 words)

	Music Theory / Tetrachords
		A diatonic scale is two tetrachords separated by a tone.
		The lower tetrachord of C is the upper tetrachord of F. The diatonic scale of F concludes in the same way the diatonic scale of C begins, CDEF.
		The upper tetrachord of C is the lower tetrachord of G. The diatonic scale of G begins in the same way the diatonic scale of C ends, GABC.
	www.musicarrangers.com /star-theory/p11.htm (113 words)

	The Five Tetrachords
		The note Proloslambanomenos does not belong to a Tetrachord; it was added to the bottom of the Greater and Lesser Perfect Systems as a foundation corresponding to the Moon and the Sublunar or Mundane Sphere.
		The Tetrachords are listed from high to low pitch range, but their individual notes are listed from low to high (see The Greater and Lesser Perfect Systems).
		The vowels of the (anomolous) Tetrachord Synêmenôn are based on Barker's (highly informed) interpretation of Aristides Quintilianus and Bellermann's Anonymous manuscript (Barker II.481n131).
	www.cs.utk.edu /~mclennan/BA/GEM/GEM-FT.html (239 words)

	The Classical Tetrachord Dictonary Page on Classic Cat
		A diatonic tetrachord has a characteristic interval that is less than or equal to half the total interval of the tetrachord (or 249 cents).
		Classically, the diatonic tetrachord consists of two intervals of a tone and one semitone.
		Classically, the characteristic interval is a major third (otherwise known as a ditone), and the two smaller intervals are quartertones.
	www.classiccat.net /dictionary/tetrachord.htm (701 words)

	Ancient Greek Origins of the Western Musical Scale
		The first and fourth notes of the tetrachord were always tuned to the interval of a diatessaron (fourth) but the tuning of the other strings depended on the genus and mode of the music.
		Furthermore, the division of the octave into two tetrachords separated by a tone is the basis of the diatonic scale, dia tonic, having a tone between the two tetrachords which are then referred to as diatonic tetrachords.
		First tune an octave between the two outer strings, D D. The other end of each tetrachord is a fifth from one of these or a fourth from the other, D A G D (descending).
	www.midicode.com /tunings/greek.shtml (2097 words)

	[No title]
		A tetrachord is a set of notes, where the lowest and the highest notes are at perfect fourth interval from each other, with other notes (usually two) in between.
		Such tetrachord could be further combined together with another tetrachord, where the highest note of the first tetrachord was at the same time the lowest note of the upper tetrachord.
		Two tetrachords could also be combined without any common note, where the highest tone of the lower tetrachord and the lowest note of the second tetrachord are separated by a whole-note interval.
	www.guitarpress.com /hsp1.html (1128 words)

	MTO 10.1: Wibberley, Quid non ebrietas dissignat?
		When the sixth conjoined tetrachord arrives (with its C-flat), the assumption has to be that all earlier ones still apply and that the tetrachord structure is an overall transparent and solid one.
		If a tetrachord is solmized, the syllables that must be applied are mi-fa-sol-la. But the Syntonic tetrachord asserts that the interval sizes of fa-sol and sol-la will be different (one will be 9:8 and the other 10:9).
		When a melody arises from the use of diatonic tetrachords its resulting diatonicism regulates the disposition of tones and semitones so that each semitone is surrounded (if the pitch material is presented as a scale) by a minimum of two and a maximum of three undivided tones.
	www.societymusictheory.org /mto/issues/mto.04.10.1/mto.04.10.1.wibberley1.html (7513 words)

	Octatonic Scales
		For example, the minor tetrachord appears on steps 2, 4, 6 and 8 of mode 2.
		The ostinato is based on the bottom tetrachord of mode 2.
		The lower voice is based on the bottom tetrachord of mode 2.
	jan.ucc.nau.edu /~krr2/atmi_files/multiple.html (939 words)

	Philolaus and Euclid
		Figure 2 also shows that the LPS consists of a 9/8, and three conjunct tetrachords, or eleven strings that span the interval of an “octave and a fourth.” As in Figure 1, circles represent fixed tones, and dots, moveable tones.
		Recall from the discussion in Section 7 that the first and last tones of a tetrachord are fixed and always sound the interval of a “fourth;” in contrast, the inner two tones are moveable according to the precepts of three different genera.
		Since tetrachord synemmenon and tetrachord diezeugmenon do not exist in the same tuning system (see Figure 2), and since Euclid duplicates the intervals of the lower “octave” in the upper “octave,” only the tones of tetrachord diezeugmenon are admissible.
	www.chrysalis-foundation.org /Philolaus_&_Euclid.htm (3195 words)

	Sympathetic Vibratory Physics - John W. Keely's Sacred Science.
		Tetrachord of the hypates: the lowest of the tetrachords or the perfect system.
		The hypate of the bypates was the lowest string of the tetrachord of the hypates; it was higher by one tone than the proslambanomenos.
		The hypate of the meses was the lowest of the tetrachord of the meses and also served as the highest of the tetrachord of the hypates.
	www.svpvril.com /svpnotes/HYPATE_37046.html (83 words)

	MTO 10.1: Wibberley, Syntonic Tuning: A Sixteenth-Century Composer's Soundscape
		These tetrachords are subtly different from those of the Pythagorean scale, having the superparticular ratios prescribed by Ptolemy for his Syntonic diatonic genus.
		In the Syntonic diatonic tetrachord, the reason why the inner two notes are raised by a comma is not only to narrow the span of the major third (e.g.
		Since the synemmenon tetrachord (as opposed to the Diezeugmenon) is specified by the 1-flat signature as being the default, Rore (like Willaert) keeps the pitch of G in the Meson tetrachord at its Pythagorean position (thereby reversing the position of the major and minor tone in this tetrachord).
	www.societymusictheory.org /mto/issues/mto.04.10.1/mto.04.10.1.wibberley2.html (5989 words)

	Maqam
		is built of a tetrachord built atop a pentachord, or vice versa (trichords exist but are little used).
		There are 6 basic tetrachords, named sometimes according to their tonic note and sometimes according to the tetrachord's most distinctive note: Çârgâh; Bûselik; Kürdî; Rast; Uşşâk; and Hicaz.
		The other notes of the tetrachord, of course, are also transposed along with the tonic, allowing the pattern to preserve its character.
	www.mp3.fm /Maqam.htm (1870 words)

	The Dispatch - Serving the Lexington, NC - News
		As the three genera simply represent ranges of possible intervals within the tetrachord, various shades (chroai) of tetrachord with specific tunings were specified.
		Modern music theory makes use of the octave as the basic unit for determining tuning: ancient Greeks used the tetrachord for this purpose.
		The single tone could be placed between the two tetrachords (between perfect fourth and perfect fifth)(termed disjunctive), or it could be placed at either end of the scale (termed conjunctive).
	www.the-dispatch.com /apps/pbcs.dll/section?category=NEWS&template=wiki&text=tetrachord (442 words)

	Dolmetsch Online - Music Theory Online - Major Scales
		The word tetrachord can be applied to the interval, a perfect fourth, between the first and last note of the four note sequence as well as to all the notes in the sequence itself.
		The interval between F, the last note of the first tetrachord, and G, the first note of the second tetrachord, is a tone.
		The interval between C, the last note of the first tetrachord, and D, the first note of the second tetrachord, is a tone.
	www.dolmetsch.com /musictheory8.htm (1416 words)

	The Sautschecks' Tabulatures/L'intavolature dei Sautscheck
		PASSACAGLIA on the descending tetrachord in a-moll, by Johann Joachim Sautscheck:
		PASSACAGLIA "du meme" in a-minor, on the descending tetrachord:
		PASSACAGLIA "sopra Piango, Gemo, Sospiro" in a-minor, on the descending tetrachord:
	polyhymnion.org /swv/ostinato.html (204 words)

	My Approach to the Music of Americanistan by Frederique Al Bayyati
		The most important note in a tetrachord is the first one, in this case, D. You can pile another Hijaz on top of this one: transposed, it would be A Bb C# D. So now you have a (Hijaz, Hijaz) scale, the really beautiful sounding Hijaz Ghariib Maqam.
		The reason for this is that, in general, the upper neighbor note to the highest note in the first tetrachord signals an ending cadence.
		Think of a Hijaz tetrachord as 1 2b 3# 4 5, where 1 can be any of several possible starting notes.
	www.americanistan.com /id38.html (1613 words)

	Girolamo Mei's Letters to Vincenzo Galilei (Site not responding. Last check: )
		In Ptolemy’s [tetrachord] the central interval is the nine-eights and the other [tetrachord] is the ten-ninths.
		Because if it was alright to put between the highest two tetrachords and the lowest two, it can not be because of the reason, that all the seven different species of the octave can be found in the system; cannot appear elsewhere, although for the ancients it could not be moved [fol.
		The fourth of the tetrachord hyperboleon is in this way and after to form the following tetrachord I would like to say that, if for ninety (parts) twelve are in a tone, how many are for one hundred and twenty, using the proportional rule.
	www.geocities.com /Vienna/Choir/4792/opera10.html (7966 words)

	Tetrachords explained (continued)
		So the four blue-dotted keys would be called the C tetrachord (C, D, E, F), and the four green-dotted keys would be called the G tetrachord (G, A, B, C).
		The lower tetrachord of a scale is also the upper tetrachord of a different scale.
		Likewise, the upper tetrachord of a given scale is also the lower tetrachord of a different major scale.
	members.aol.com /loziernote/theory/circle/tetra03.htm (238 words)

	Tonalsoft Encyclopaedia of Tuning - Tutorial on ancient Greek Tetrachord-theory (c)1999 by Joe Monzo
		The fixed notes are those bounding the tetrachord, which are always assumed to be the interval of the Pythagorean 'perfect 4th', with the ratio 3:4.
		The main thing to remember is that the names of the Greek notes are based on their position within the tetrachord, and that since two of the notes are moveable, it's really better to THINK in the Greek way rather than try to represent this stuff in our modern scale/note terms.
		Thus, the genus was given the name "diatonic", which in Greek means "thru tones", because it is the only genus which has 2 more-or-less equal "whole-tone" intervals in each tetrachord, in addition to the "tones of disjunction" separating various tetrachords; the overwhelming majority of between-degree intervals in this genus are "whole-tones".
	sonic-arts.org /monzo/aristoxenus/tutorial.htm (1591 words)

	Definition of Tetrachord
		In musical theory, a tetrachord is a series of four diatonic tones encompassing the interval of a perfect fourth.
		Two similar tetrachords, a tone apart, form the diatonic major scale.
		Originally tetrachord referred to the four strings (tetra - chord) of Greek lyres of which two, the outside or lowest and highest, were fixed (in a just, 3:4, perfect fourth) and two, the inside or middle strings, were movable.
	www.wordiq.com /definition/Tetrachord (193 words)

	PIANO GUILD AUDITIONS (Site not responding. Last check: )
		Student attempts to play one judge chosen major scale (C-G-D-A-E-B) in tetrachord style or one octave hands separate/together ascending and descending with more than 4 fingering, melodic, or beat hesitation errors.
		Student plays one judge chosen major scale (C-G-D-A-E-B) in tetrachord style or one octave hands separate/together ascending and descending with 2-3 fingering, melodic, or beat hesitation errors.
		Student plays one judge chosen major scale (C-G-D-A-E-B) in tetrachord style or one octave hands separate/together ascending and descending with only one fingering, melodic, or beat hesitation error.
	faculty-staff.ou.edu /B/Nancy.H.Barry-1/pianrub.html (624 words)

	iBreatheMusic Forums - (Tetrachord) What is it?
		As I understand it, a Tetrachord is a 4 note span between a Tonic and a P4.
		I've found three different Tetrachords in my Music Theory studies and here they are along with my issues in terminology.
		Diatonic Tetrachords I'm assuming based on the article and other information I've read is what most refer to when talking about tetrachords.
	www.ibreathemusic.com /forums/printthread.php?t=9924 (563 words)

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